Problems & Solutions in Group Theory for Physicists
This book is aimed at graduate students in physics who are studying group theory and its application to physics. It contains a short explanation of the fundamental knowledge and method, and the fundamental exercises for the method, as well as some important conclusions in group theory.The book can be used by graduate students and young researchers in physics, especially theoretical physics. It is also suitable for some graduate students in theoretical chemistry.
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angle Applying axes axis bases basis belongs block weight diagram boxes calculate called Chapter characters choose coefficients column commutable complete component condition contains corresponding coset crystal define denoted determined diagonal digits dimension direct product dominant weight eigenfunction eigenvalue eigenvectors elements equal equation equivalent expressed formula four function given group G highest weight identity independent indices inequivalent invariant subgroup inverse irreducible representation lattice Lie algebra Lie group listed matrix entries method multiplication namely normalization obtain operators orthogonal orthogonal matrix parameters permutation positive Problem Prove rank reduction remaining representation matrices respectively root rotation rule satisfy similarity transformation simple roots single Solution space groups spinor standard tensor Young standard Young tableaux SU(N subgroup symmetric tensor Young tableaux twofold unitary vector Young pattern Young tableau